FunctionAdvisor/analytic_extension
return the definition of the analytic extension of a given mathematical function
Calling Sequence
Parameters
Description
Examples
FunctionAdvisor(analytic_extension, math_function)
analytic_extension
-
literal name; 'analytic_extension'
math_function
Maple name of mathematical function
The FunctionAdvisor(analytic_extension, math_function) command returns the definition of the analytic extension used by Maple to extend the function outside the classical domain, typically to the entire complex plane.
Note: For most functions the domain of the classical definition is the entire complex plane. If the requested information is not available, the FunctionAdvisor command returns NULL.
FunctionAdvisordefinition,Γz
Γz=∫0∞_k1z−1ⅇ_k1ⅆ_k1,0<ℜz
FunctionAdvisoranalytic_extension,Γ
Γz=πsinπzΓ1−z,ℜz<0
See Also
FunctionAdvisor
FunctionAdvisor/topics
Download Help Document